1) For SSAT, you can take it at least 4 times before the deadline for the application, in October, November, December and January. However, your child may have to fly to another place to take it, depending on the month.
I would not suggest that you go to a full day school to study TOEFL and SSAT. Your child needs to have current grades of a formal school when he/she applies.
2) Top schools would like to see the TOEFL, not the TOEFL Junior or SLEP.